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Finding the Fourth Proportional to 33,044.06, 49,615.31 and 13,361.06

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Solution

The fourth proportional to 33,044.06, 49,615.31 and 13,361.06 is: 20,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,044.06 : 49,615.31 = 13,361.06 : x
  2. Step 2: Convert to fraction form
    33,044.06/49,615.31 = 13,361.06/x
  3. Step 3: Cross multiply
    33,044.06x = 49,615.31 × 13,361.06
  4. Step 4: Simplify right side
    33,044.06x = 662,912,818.95
  5. Step 5: Solve for x
    x = 662,912,818.95/33,044.06
  6. Step 6: Final answer
    x = 20,061.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.